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Joint Distributions and Commutability of Observables

Demonstratio Mathematica, 1985
Let H be a Hilbert space and \({\mathcal S}\) be the space of all positive trace-class operators T on H with tr (T)\(=1\) (identified with the set of all normal states on \({\mathbb{B}}(H)\) by \(\rho_ T(A)=tr (AT))\). For an observable A on H let \(P_ T\) A be the probability distribution of A at the state T, i.e. \(P\) \(A_ T(E)=\rho_ T(\chi_ E(A))\)
openaire   +2 more sources

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

Molecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim, Hwiyeong Lee, Jin Hong, Daechan Park   +3 more
wiley   +1 more source

Characterizations of multinomial distributions based on conditional distributions

International Journal of Mathematics and Mathematical Sciences, 1996
Several characterizations of the joint multinomial distribution of two discrete random vectors are derived assuming conditional multinomial distributions.
Khoan T. Dinh, Truc T. Nguyen, Yining Wang   +2 more
doaj   +1 more source

Joint feature distributions for image correspondence [PDF]

Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, 2002
We introduce `Joint Feature Distributions', a general statistical framework for feature based multi-image matching that explicitly models the joint probability distributions of corresponding features across several images. Conditioning on feature positions in some of the images gives well-localized distributions for their correspondents in the others ...
openaire   +3 more sources

Spatial biology in cancer epigenetics

Molecular Oncology, EarlyView.
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley   +1 more source

An Enhanced Joint Hilbert Embedding-Based Metric to Support Mocap Data Classification with Preserved Interpretability

Sensors, 2021
Motion capture (Mocap) data are widely used as time series to study human movement. Indeed, animation movies, video games, and biomechanical systems for rehabilitation are significant applications related to Mocap data. However, classifying multi-channel
Cristian Kaori Valencia-Marin, Juan Diego Pulgarin-Giraldo, Luisa Fernanda Velasquez-Martinez, Andres Marino Alvarez-Meza, German Castellanos-Dominguez   +4 more
doaj   +1 more source

Profiling neoadjuvant therapy response in rectal cancer using meta‐analysis of publicly available transcriptomic RNA‐seq datasets

Molecular Oncology, EarlyView.
This study integrates publicly available transcriptomic datasets to identify molecular signatures associated with response to neoadjuvant chemoradiotherapy in locally advanced rectal cancer. By analyzing a combination of multiple cohorts with bioinformatics approaches, we reveal biological pathways and immune‐related features that may improve ...
Aleksandra Stanojevic, Rafael Stroggilos, Mladen Marinkovic, Ana Djuric, Suzana Stojanovic‐Rundic, Radmila Jankovic, Sergi Castellvi‐Bel, Remond J.A. Fijneman, Antonia Vlahou, Jerome Zoidakis, Milena Cavic   +10 more
wiley   +1 more source

Construction of Joint Probability Distributions

The Annals of Mathematical Statistics, 1968
Let Fi(x) and F2(y) be the distribution functions of two random variables. Frechet proved that the family of joint distributions having Fi(x) and F2(y) as marginal distributions collapses to F1(x)F2(y) if and only if either F,(x) or F2(y) is a unit step function.
openaire   +2 more sources

Ionomycin suppresses cancer cell growth by disrupting mitochondrial transcription

FEBS Open Bio, EarlyView.
In this study, we identify a new function for the selective Ca2+ ionophore, ionomycin, as an inhibitor of mitochondrial transcription. Both total and nascent RNA analyses revealed that ionomycin treatment reduces the transcription of mitochondrial genes.
Lishen Wang, Mingqiang Deng, Dongmei He, Diqin Lai, Dongjun Liu, Dengyong Zhu, Zhenhua Zhang, Peng Tang, Chuanman Zhou, Menghui Yin, Xichen Bao   +10 more
wiley   +1 more source

Identification and characterisation of calcitonin receptor isoforms expressed in glioblastoma derived glioma stem and U‐87 MG cells

FEBS Open Bio, EarlyView.
Glioblastoma cells express calcitonin receptor variants (CT receptor isoforms) that may help them survive stress. Using qPCR, transcript‐specific long‐read nanopore sequencing, immunofluorescence co‐localisation and comparative sequence analysis, this study identifies a novel alternatively spliced CALCR transcript that encodes the CTb receptor isoform ...
Pragya Gupta, Sebastian GB Furness, Tahereh Gharbi, Ric De Paoli‐Iseppi, Shweta S. Joshi, Michael Clark, David L. Hare, Peter Wookey   +7 more
wiley   +1 more source